The Hasan Geometric Framework: A Unified Vortex Description of Orbital, Atomic, and Galactic Systems

The Hasan Geometric Framework establishes a fully deterministic description of orbiting systems from first principles, unifying planetary motion, atomic structure, and galactic dynamics under a single geometric identity: V H =. This framework restores the "hidden" vortex height (H) —the third geometric dimension eliminated by Newtonian cancellations—to reveal that all orbital quantities follow a pure geometric progression: H H² = R (Radius) H³ = T (Period). From this single parameter H, every observable quantity is uniquely determined, proving that Kepler’s Third Law is a geometric identity rather than an empirical observation. Key Scientific Breakthroughs Orbital Mechanics; Atomic Structure; Kinematic Flux; Fine-Structure Constant; Determinism; H-parameter; Galactic Centre; Schwarzschild Radius.